787360 has 96 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 248832.

The previous prime is 787357. The next prime is 787361. The reversal of 787360 is 63787.

787360 is nontrivially palindromic in base 3.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (787361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21262 + ... + 21298.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁷⁸⁷³⁶⁰ is an apocalyptic number.

787360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 787360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

787360 is an abundant number, since it is smaller than the sum of its proper divisors (1510880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

787360 is a wasteful number, since it uses less digits than its factorization.

787360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 787360 is about 887.3330828950. Note that the first 3 decimals coincide. The cubic root of 787360 is about 92.3402648581.

The spelling of 787360 in words is "seven hundred eighty-seven thousand, three hundred sixty".